Sin^-1(0) In Radians: Multiple Solutions To The Inverse Sine Function

Sin^-1(0)

0

sin^-1(0) denotes the inverse sine function of 0, which is the value of an angle in radians that has a sine of 0. This means we need to determine the angle whose sine is 0.

Since the sine function is zero at 0 degrees, 180 degrees, and any multiple of 180 degrees, we know that sin^-1(0) has multiple solutions.

In radians, we can write these solutions as:

– θ = 0 radians + 2πn, where n is an integer
– θ = π radians + 2πn, where n is an integer

This indicates that the value of sin^-1(0) is any angle that is a multiple of π radians, such as 0 radians, π radians, 2π radians, and so on.

Therefore, sin^-1(0) equals to 0 radians when expressed in radians.

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